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Finding the Third Proportional to 347,450 and 754,678

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Solution

The third proportional to 347,450 and 754,678 is: 1,639,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,450 : 754,678 = 754,678 : x
  2. Step 2: Convert to fraction form
    347,450/754,678 = 754,678/x
  3. Step 3: Cross multiply
    347,450x = 754,678 × 754,678
  4. Step 4: Simplify right side
    347,450x = 569,538,883,684
  5. Step 5: Solve for x
    x = 569,538,883,684/347,450
  6. Step 6: Final answer
    x = 1,639,196.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.